2011, ISBN 0199575312, Volume 9780199575312, xii, 652

.... However, whilst the associated probability equations are straightforward to write down, their solution usually requires the use of approximation and perturbation procedures...

Markov processes | Population | Statistical methods | applied mathematics | Even-time pairs | Probability equations | Stochastic realizations | Approximation | Random processes

Markov processes | Population | Statistical methods | applied mathematics | Even-time pairs | Probability equations | Stochastic realizations | Approximation | Random processes

Book

IEEE Transactions on Information Theory, ISSN 0018-9448, 10/2004, Volume 50, Issue 10, pp. 2231 - 2242

...), to solve the sparse approximation problem over redundant dictionaries. It provides a sufficient condition under which both OMP and Donoho's basis pursuit (BP...

Greedy algorithms | Sufficient conditions | Dictionaries | Matching pursuit algorithms | Signal processing | Approximation algorithms | Linear programming | Iterative algorithms | Approximation methods | Iterative methods | algorithms | iterative methods | BASES | REPRESENTATION | COMPUTER SCIENCE, INFORMATION SYSTEMS | orthogonal matching pursuit (OMP) | linear programming | IDENTIFICATION | approximation methods | ENGINEERING, ELECTRICAL & ELECTRONIC | basis pursuit (BP) | PROJECTION PURSUIT REGRESSION | DICTIONARIES | PAIRS | Research | Information theory

Greedy algorithms | Sufficient conditions | Dictionaries | Matching pursuit algorithms | Signal processing | Approximation algorithms | Linear programming | Iterative algorithms | Approximation methods | Iterative methods | algorithms | iterative methods | BASES | REPRESENTATION | COMPUTER SCIENCE, INFORMATION SYSTEMS | orthogonal matching pursuit (OMP) | linear programming | IDENTIFICATION | approximation methods | ENGINEERING, ELECTRICAL & ELECTRONIC | basis pursuit (BP) | PROJECTION PURSUIT REGRESSION | DICTIONARIES | PAIRS | Research | Information theory

Journal Article

Journal of Fourier Analysis and Applications, ISSN 1069-5869, 2018, Volume 25, Issue 4, pp. 1395 - 1423

We solve the problem of best approximation by Parseval frames to an arbitrary frame in a subspace of an infinite dimensional Hilbert space...

Löwdin orthogonalization | Frame | Partial isometry | Hilbert–Schmidt operator | Symmetric approximation | Hilbert space | Index of a pair of projections | Lowdin orthogonalization | MATHEMATICS, APPLIED | BASES | THEOREM | Hilbert-Schmidt operator | GABOR

Löwdin orthogonalization | Frame | Partial isometry | Hilbert–Schmidt operator | Symmetric approximation | Hilbert space | Index of a pair of projections | Lowdin orthogonalization | MATHEMATICS, APPLIED | BASES | THEOREM | Hilbert-Schmidt operator | GABOR

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 8/2012, Volume 2012, Issue 8, pp. 1 - 27

.... The zero-width approximation is hence expected to be an excellent approximation. We show that this is not always the case...

QCD | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Higgs Physics | Standard Model | Physics | Elementary Particles, Quantum Field Theory | GLUON FUSION | TOP MASS | ANNIHILATION | LEADING ORDER QCD | COLLIDERS | ELECTROWEAK CORRECTIONS | BROKEN SYMMETRIES | PAIR PRODUCTION | STANDARD-MODEL | PHYSICS, PARTICLES & FIELDS | Higgs bosons | Quarks | Approximation | Large Hadron Collider | Mathematical analysis

QCD | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Higgs Physics | Standard Model | Physics | Elementary Particles, Quantum Field Theory | GLUON FUSION | TOP MASS | ANNIHILATION | LEADING ORDER QCD | COLLIDERS | ELECTROWEAK CORRECTIONS | BROKEN SYMMETRIES | PAIR PRODUCTION | STANDARD-MODEL | PHYSICS, PARTICLES & FIELDS | Higgs bosons | Quarks | Approximation | Large Hadron Collider | Mathematical analysis

Journal Article

New Journal of Physics, ISSN 1367-2630, 10/2018, Volume 20, Issue 10, p. 103045

We present a full stochastic description of the pair approximation scheme to study binary-state dynamics on heterogeneous networks...

voter model | system-size expansion | pair approximation | SURFACE-REACTION MODEL | COMPLEX | PHYSICS, MULTIDISCIPLINARY | DYNAMICS | SYSTEMS | INDUCED BISTABILITY | SPREAD | MOMENTS | GRAPHS | Time dependence | Dynamic tests | Approximation | Computer simulation | Size effects | Variations | Mathematical models | Critical point | Physics - Physics and Society

voter model | system-size expansion | pair approximation | SURFACE-REACTION MODEL | COMPLEX | PHYSICS, MULTIDISCIPLINARY | DYNAMICS | SYSTEMS | INDUCED BISTABILITY | SPREAD | MOMENTS | GRAPHS | Time dependence | Dynamic tests | Approximation | Computer simulation | Size effects | Variations | Mathematical models | Critical point | Physics - Physics and Society

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 12/2013, Volume 2013, Issue 12, pp. 1 - 42

... in the framework of the so-called double-pole approximation. In detail, the lowest-order cross section and the photonic bremsstrahlung are based on full matrix elements...

NLO Computations | Quantum Physics | Quantum Field Theories, String Theory | Monte Carlo Simulations | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | ALPHA-S CALCULATION | LOOP CALCULATIONS | BOSON PAIR PRODUCTION | 4-FERMION PRODUCTION | GAMMA-GAMMA-COLLIDERS | UNSTABLE PARTICLES | NONFACTORIZABLE CORRECTIONS | O(ALPHA) CORRECTIONS | LOGARITHMIC CORRECTIONS | RADIATIVE-CORRECTIONS | PHYSICS, PARTICLES & FIELDS

NLO Computations | Quantum Physics | Quantum Field Theories, String Theory | Monte Carlo Simulations | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | ALPHA-S CALCULATION | LOOP CALCULATIONS | BOSON PAIR PRODUCTION | 4-FERMION PRODUCTION | GAMMA-GAMMA-COLLIDERS | UNSTABLE PARTICLES | NONFACTORIZABLE CORRECTIONS | O(ALPHA) CORRECTIONS | LOGARITHMIC CORRECTIONS | RADIATIVE-CORRECTIONS | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of Chemical Physics, ISSN 0021-9606, 06/2010, Volume 132, Issue 24, pp. 244108 - 244108-9

Range-separated methods combining a short-range density functional with long-range random phase approximations (RPAs...

CONSTRAINT SATISFACTION | BASE-PAIRS | COMPLEXES | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CORRELATION-ENERGY | GAS | CHEMISTRY, PHYSICAL | ATOMS | or physical chemistry | Computational Physics | Chemical Physics | Chemical Sciences | Physics | Theoretical and

CONSTRAINT SATISFACTION | BASE-PAIRS | COMPLEXES | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CORRELATION-ENERGY | GAS | CHEMISTRY, PHYSICAL | ATOMS | or physical chemistry | Computational Physics | Chemical Physics | Chemical Sciences | Physics | Theoretical and

Journal Article

Proceedings of the forty-sixth annual ACM symposium on theory of computing, ISSN 0737-8017, 05/2014, pp. 565 - 573

... (the standard synchronous CONGEST model). The question whether approximation algorithms help speed up the shortest paths and distance computation...

all-pairs shortest paths | time complexity | single-source shortest paths | CONGEST model | distributed computing | lower bounds | graph algorithms | Lower bounds | All-pairs shortest paths | Single-source shortest paths | Graph algorithms | Distributed computing | Time complexity

all-pairs shortest paths | time complexity | single-source shortest paths | CONGEST model | distributed computing | lower bounds | graph algorithms | Lower bounds | All-pairs shortest paths | Single-source shortest paths | Graph algorithms | Distributed computing | Time complexity

Conference Proceeding

The Journal of Chemical Physics, ISSN 0021-9606, 10/2019, Volume 151, Issue 15, p. 154117

Relaxation processes can have a large effect on the spin selective electron transfer reactions of radical pairs. These processes are often treated using...

RECOMBINATION | TRANSPORT | STATES | QUANTUM | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | COHERENT | CHEMISTRY, PHYSICAL | CHARGE | MOLECULES | Electron transfer | Spin dynamics | Computer simulation | Electron spin | Ion pairs | Physics - Chemical Physics

RECOMBINATION | TRANSPORT | STATES | QUANTUM | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | COHERENT | CHEMISTRY, PHYSICAL | CHARGE | MOLECULES | Electron transfer | Spin dynamics | Computer simulation | Electron spin | Ion pairs | Physics - Chemical Physics

Journal Article

Journal of Magnetism and Magnetic Materials, ISSN 0304-8853, 03/2016, Volume 402, pp. 101 - 104

Spin-1 Heisenberg system on simple cubic lattice is considered in the pair approximation method assuming that the second-nearest-neighbor exchange interaction parameter has a negative value...

Pair approximation method | Heisenberg ferromagnet | Phase transition | ISING FERROMAGNET | PHYSICS, CONDENSED MATTER | THERMODYNAMIC PROPERTIES | PHASE-TRANSITIONS | MAGNETIZATION | FIELD | MATERIALS SCIENCE, MULTIDISCIPLINARY | OGUCHI METHOD | BIQUADRATIC EXCHANGE | IRON-GARNET | Thermodynamics | Ferromagnetism | Magnetization | Magnetic fields | Anisotropy | Methods | Approximation | Interaction parameters | Heat exchange | Mathematical analysis | Entropy

Pair approximation method | Heisenberg ferromagnet | Phase transition | ISING FERROMAGNET | PHYSICS, CONDENSED MATTER | THERMODYNAMIC PROPERTIES | PHASE-TRANSITIONS | MAGNETIZATION | FIELD | MATERIALS SCIENCE, MULTIDISCIPLINARY | OGUCHI METHOD | BIQUADRATIC EXCHANGE | IRON-GARNET | Thermodynamics | Ferromagnetism | Magnetization | Magnetic fields | Anisotropy | Methods | Approximation | Interaction parameters | Heat exchange | Mathematical analysis | Entropy

Journal Article

ChemPhysChem, ISSN 1439-4235, 12/2018, Volume 19, Issue 23, pp. 3191 - 3195

...‐Oppenheimer approximation during electron‐phonon interactions. Its strength is determined by the pair...

interband electron pairing | metals | Born-Oppenheimer approximation | Fermi surfaces | multiband superconductivity | DENSITY WAVES | INSULATING STATES | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | CHARGE | MGB2 | TRANSITION-TEMPERATURE | Superconductors | Physics - Superconductivity

interband electron pairing | metals | Born-Oppenheimer approximation | Fermi surfaces | multiband superconductivity | DENSITY WAVES | INSULATING STATES | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | CHARGE | MGB2 | TRANSITION-TEMPERATURE | Superconductors | Physics - Superconductivity

Journal Article

The Journal of Chemical Physics, ISSN 0021-9606, 06/2018, Volume 148, Issue 24, p. 241725

...), neural networks, and Gaussian approximation potentials (GAPs) in representing water two-body and three-body interaction energies, denoting the resulting potentials...

BIOMOLECULAR SIMULATIONS | MOLECULAR-DYNAMICS | SKETCH-MAP | VIRIAL-COEFFICIENT | CLUSTERS | EFFECTIVE PAIR POTENTIALS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | LIQUID WATER | CHEMISTRY, PHYSICAL | TRANSFERABLE INTERACTION MODELS | 1ST PRINCIPLES | ENERGY SURFACE | Physics - Chemical Physics

BIOMOLECULAR SIMULATIONS | MOLECULAR-DYNAMICS | SKETCH-MAP | VIRIAL-COEFFICIENT | CLUSTERS | EFFECTIVE PAIR POTENTIALS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | LIQUID WATER | CHEMISTRY, PHYSICAL | TRANSFERABLE INTERACTION MODELS | 1ST PRINCIPLES | ENERGY SURFACE | Physics - Chemical Physics

Journal Article

Annals of Physics, ISSN 0003-4916, 08/2018, Volume 395, pp. 341 - 365

... (phase space dimensionality) scaling polynomially in the system size. This method is based on generalization of the truncated Wigner approximation (TWA...

Quantum dynamics | Wigner functions | Phase space | Strongly interacting quantum systems | Semiclassical dynamics | MECHANICS | PHYSICS, MULTIDISCIPLINARY | DYNAMICS | REPRESENTATION | ENTANGLED PAIR STATES | MATRIX PRODUCT STATES

Quantum dynamics | Wigner functions | Phase space | Strongly interacting quantum systems | Semiclassical dynamics | MECHANICS | PHYSICS, MULTIDISCIPLINARY | DYNAMICS | REPRESENTATION | ENTANGLED PAIR STATES | MATRIX PRODUCT STATES

Journal Article

Physics Reports, ISSN 0370-1573, 12/2014, Volume 545, Issue 1, pp. 1 - 45

.... The nucleon-pair approximation therefore provides us with an efficient truncation scheme of the full shell model configurations which are otherwise...

Collective nucleon pairs | The nuclear shell model | Truncation scheme | Low-lying states | PLUS-QUADRUPOLE MODEL | EVEN SPHERICAL NUCLEI | MULTIPHONON STATES | PHYSICS, MULTIDISCIPLINARY | QUASI-SPIN | LIGHT SN ISOTOPES | INTERACTING-BOSON-MODEL | DOUBLE-CHARGE-EXCHANGE | DYNAMICAL SYMMETRY MODEL | GENERALIZED-SENIORITY SCHEME

Collective nucleon pairs | The nuclear shell model | Truncation scheme | Low-lying states | PLUS-QUADRUPOLE MODEL | EVEN SPHERICAL NUCLEI | MULTIPHONON STATES | PHYSICS, MULTIDISCIPLINARY | QUASI-SPIN | LIGHT SN ISOTOPES | INTERACTING-BOSON-MODEL | DOUBLE-CHARGE-EXCHANGE | DYNAMICAL SYMMETRY MODEL | GENERALIZED-SENIORITY SCHEME

Journal Article